Elliptic curve search results

Results (6 matches)

 

Label	Cremona label	Class	Cremona class	Class size	Class degree	Conductor	Discriminant	Rank	Torsion	$\textrm{End}^0(E_{\overline\Q})$	CM	Sato-Tate	Semistable	Potentially good	Nonmax $\ell$	$\ell$-adic images	mod-$\ell$ images	Adelic level	Adelic index	Adelic genus	Regulator	$Ш_{\textrm{an}}$	Ш primes	Integral points	Modular degree	Faltings height	j-invariant	$abc$ quality	Szpiro ratio	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators
50008.f1	50008a1	50008.f	50008a	$1$	$1$	\( 2^{3} \cdot 7 \cdot 19 \cdot 47 \)	\( - 2^{4} \cdot 7^{7} \cdot 19 \cdot 47 \)	$0$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$12502$	$2$	$0$	$1$	$1$		$0$	$21504$	$0.613301$	$62800480256/735423899$	$0.84357$	$2.82743$	$[0, 1, 0, 209, 5158]$	\(y^2=x^3+x^2+209x+5158\)	12502.2.0.?	$[]$
100016.e1	100016h1	100016.e	100016h	$1$	$1$	\( 2^{4} \cdot 7 \cdot 19 \cdot 47 \)	\( - 2^{4} \cdot 7^{7} \cdot 19 \cdot 47 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$12502$	$2$	$0$	$0.765042535$	$1$		$4$	$43008$	$0.613301$	$62800480256/735423899$	$0.84357$	$2.65720$	$[0, -1, 0, 209, -5158]$	\(y^2=x^3-x^2+209x-5158\)	12502.2.0.?	$[(22, 98)]$
350056.g1	350056g1	350056.g	350056g	$1$	$1$	\( 2^{3} \cdot 7^{2} \cdot 19 \cdot 47 \)	\( - 2^{4} \cdot 7^{13} \cdot 19 \cdot 47 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$12502$	$2$	$0$	$4.122995214$	$1$		$0$	$1032192$	$1.586256$	$62800480256/735423899$	$0.84357$	$3.31103$	$[0, -1, 0, 10225, -1748732]$	\(y^2=x^3-x^2+10225x-1748732\)	12502.2.0.?	$[(16491/5, 2134489/5)]$
400064.i1	400064i1	400064.i	400064i	$1$	$1$	\( 2^{6} \cdot 7 \cdot 19 \cdot 47 \)	\( - 2^{10} \cdot 7^{7} \cdot 19 \cdot 47 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$12502$	$2$	$0$	$4.651367221$	$1$		$2$	$344064$	$0.959875$	$62800480256/735423899$	$0.84357$	$2.69404$	$[0, -1, 0, 835, 40429]$	\(y^2=x^3-x^2+835x+40429\)	12502.2.0.?	$[(185, 2548)]$
400064.bi1	400064bi1	400064.bi	400064bi	$1$	$1$	\( 2^{6} \cdot 7 \cdot 19 \cdot 47 \)	\( - 2^{10} \cdot 7^{7} \cdot 19 \cdot 47 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$12502$	$2$	$0$	$2.091718386$	$1$		$2$	$344064$	$0.959875$	$62800480256/735423899$	$0.84357$	$2.69404$	$[0, 1, 0, 835, -40429]$	\(y^2=x^3+x^2+835x-40429\)	12502.2.0.?	$[(239, 3724)]$
450072.n1	450072n1	450072.n	450072n	$1$	$1$	\( 2^{3} \cdot 3^{2} \cdot 7 \cdot 19 \cdot 47 \)	\( - 2^{4} \cdot 3^{6} \cdot 7^{7} \cdot 19 \cdot 47 \)	$1$	$\mathsf{trivial}$	$\Q$		$\mathrm{SU}(2)$						$12502$	$2$	$0$	$6.585772219$	$1$		$0$	$645120$	$1.162607$	$62800480256/735423899$	$0.84357$	$2.85656$	$[0, 0, 0, 1878, -137387]$	\(y^2=x^3+1878x-137387\)	12502.2.0.?	$[(682/3, 17911/3)]$